
for \(x_1, \ldots , x_{n+1}\in {g}\) . The corresponding cohomology groups are denoted by \(H^{\ast }({g}, V).\)  This cohomology has been first appeared in [1]} and rediscover by Loday and Pirashvili [2]}. This cohomology is also the Loday-Pirashvili cohomology.
